{
  "abstract": "The dominated coloring of a graph $G$ is a proper vertex coloring such that each color class is dominated by a vertex. The minimum number of colors required for a dominated coloring of a graph $G$ is called the dominated chromatic number of the graph $G$ and is denoted by $χ_{dom}(G)$. A graph $G$ is said to be chromatic dominated if $χ(G)=χ_{dom}(G)$. In this paper, we characterized the perfect graphs, which are chromatic dominated. Also, we studied the dominated chromatic number of some classes of unicyclic graphs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32439",
  "author_total": 3,
  "authors": [
    {
      "name": "Sneha R"
    },
    {
      "name": "J. Geetha"
    },
    {
      "name": "K. Somasundaram"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ep81g2dvf1cn2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32439",
  "fulltext_url": null,
  "id": "ep81g2dvf1cn2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32439",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7214791532",
  "pdf_url": "https://arxiv.org/pdf/2609.32439",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ep81g2dvf1cn2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32439",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32439"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Dominated Coloring of Some Classes of Perfect and Unicyclic Graphs",
  "title_text": "Dominated Coloring of Some Classes of Perfect and Unicyclic Graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/ep81g2dvf1cn2",
  "venue": "arXiv",
  "versions": []
}